Details

sample32.0ms

Algorithm

intervals

Results

20.0ms

478×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	23	8
1	56	7
2	129	7
3	353	5
4	948	5
5	2260	5
6	5001	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 7.4b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
0.2b	(* 3 (* x.im (* x.re x.re)))
7.4b	(* x.im (* x.re x.re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-r`
15×	`*-commutative`
12×	`prod-diff`
7×	`unpow3`
6×	`fma-neg` `sqr-pow`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip--`

Counts

3 → 31

Calls

3 calls:

7.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
4.0ms	(* 3 (* x.im (* x.re x.re)))
3.0ms	(* x.im (* x.re x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* 3 (* x.im (* x.re x.re))) (pow x.im 3))
36.0ms	(* 3 (* x.im (* x.re x.re)))
30.0ms	(* x.im (* x.re x.re))

simplify125.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	129	220
1	486	200
2	2675	186
3	5002	147

prune58.0ms

Filtered

40 candidates to 17 candidates (42.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 3 (* x.im x.re)) x.re (- (pow x.im 3)))
0.3b	(* 3 (* x.im x.re))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `*-commutative`
1×	`fma-udef`

Counts

2 → 4

Calls

2 calls:

1.0ms	(fma (* 3 (* x.im x.re)) x.re (- (pow x.im 3)))
3.0ms	(* 3 (* x.im x.re))

series70.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(fma (* 3 (* x.im x.re)) x.re (- (pow x.im 3)))
20.0ms	(* 3 (* x.im x.re))

simplify43.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	26
1	82	26
2	270	26
3	851	26
4	5002	26

prune22.0ms

Filtered

10 candidates to 5 candidates (50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Merged error: 0.0b

Counts

16 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* (* 3 x.re) x.im) x.re (- (pow x.im 3)))
0.2b	(* (* 3 x.re) x.im)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

2 → 4

Calls

2 calls:

1.0ms	(fma (* (* 3 x.re) x.im) x.re (- (pow x.im 3)))
3.0ms	(* (* 3 x.re) x.im)

series90.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma (* (* 3 x.re) x.im) x.re (- (pow x.im 3)))
17.0ms	(* (* 3 x.re) x.im)

simplify44.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	26
1	91	26
2	302	26
3	897	26
4	5001	26

prune17.0ms

Filtered

10 candidates to 5 candidates (50.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) x.re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
14×	`*-commutative`
12×	`prod-diff`
10×	`associate-l`
6×	`fma-neg` `unpow3` `sqr-pow`
1×	`sub-neg` `flip3--` `flip--`

Counts

3 → 30

Calls

3 calls:

7.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
3.0ms	(* (* x.im x.re) x.re)
4.0ms	(* 3 (* (* x.im x.re) x.re))

series119.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(- (* 3 (* (* x.im x.re) x.re)) (pow x.im 3))
29.0ms	(* (* x.im x.re) x.re)
33.0ms	(* 3 (* (* x.im x.re) x.re))

simplify135.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	123	212
1	493	194
2	3084	180
3	5001	177

prune37.0ms

Filtered

39 candidates to 13 candidates (33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample757.0ms

Algorithm

intervals

Results

525.0ms

14474×

body

valid